Piecewise Holomorphic Systems and Regularization of Filippov fields around degener...
Regularization of planar Filippov Systems near a codimension one singularity
Limit cycles of discontinuous piecewise smooth differential systems in the plane R...
| Grant number: | 22/12123-9 |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| Effective date (Start): | March 01, 2023 |
| Effective date (End): | February 29, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Paulo Ricardo da Silva |
| Grantee: | Gabriel Alexis Rondón Vielma |
| Supervisor: | Armengol Gasull |
| Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
| Research place: | Universitat Autònoma de Barcelona (UAB), Spain |
| Associated to the scholarship: | 20/06708-9 - Piecewise Holomorphic Systems and Regularization of Filippov fields around degenerated singularities and regular tangential polycycles, BP.PD |
Abstract We will study the number of limit cycles of piecewise holomorphic systems, which is related to the famous Hilbert Problem 16 for piecewise vector fields. Also, we will investigate slow-fast systems in C^2, which can be used in the regularization process of discontinuous fields in R^4 with discontinuity surface with codimension 2. Also, we are interested in investigating the typical singularities of slow-fast systems that arise from (linear or non-linear) regularizations. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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